| 关于丢番图方程sum from i=1 to k (a_ix_i~(m_i/n_i)=x~(m/n) |
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| 引用本文： | 刘学飞,姜友谊.关于丢番图方程sum from i=1 to k (a_ix_i~(m_i/n_i)=x~(m/n)[J].沈阳化工学院学报,2000(2). |
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| 作者姓名： | 刘学飞 姜友谊 |
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| 作者单位： | 三峡学院计算机系!重庆万州404000 |
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| 摘 要： | 根据整系数整指数丢番图方程∑ki=1aixini=ym,有含参数一般解的一个充分条件 ,作者就推广型整系数有理分数指数丢番图方程∑ki=1aiximini=ymn 进行研究 ,给出该方程有参数一般解的一个充分条件 ,并得到它的一族含参整数解 .
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| 关 键 词： | 丢番图方程 参数解 分数指数 |
On Diophantine Equation sum from i=1 to k (a_ix_i~(m_i/n_i)=x~(m/n) |
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| LIU Xue fei,\ JIANG You yi.On Diophantine Equation sum from i=1 to k (a_ix_i~(m_i/n_i)=x~(m/n)[J].Journal of Shenyang Institute of Chemical Technolgy,2000(2). |
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| Authors: | LIU Xue fei \ JIANG You yi |
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| Abstract: | A sufficient condition to get the parametric solution of diophantine equation with integer coefficient and fractional exponents is obtained by the similar way in diophantine equation with integer coefficients and integer exponents. |
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| Keywords: | diophantine equation \ parametric solution \ fractional exponent |
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